The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.
Solar System constraints to generalf(R)gravity
Open accessAbstract
It has been proposed that cosmic acceleration or inflation can be driven by replacing the Einstein-Hilbert action of general relativity with a function $f(R)$ of the Ricci scalar $R$. Such $f(R)$ gravity theories have been shown to be equivalent to scalar-tensor theories of gravity that are incompatible with Solar System tests of general relativity, as long as the scalar field propagates over Solar System scales. Specifically, the parameterized post-Newtonian (PPN) parameter in the equivalent scalar-tensor theory is $\ensuremath{\gamma}=1/2$, which is far outside the range allowed by observations. In response to a flurry of papers that questioned the equivalence of $f(R)$ theory to scalar-tensor theories, it was recently shown explicitly, without resorting to the scalar-tensor equivalence, that the vacuum field equations for $1/R$ gravity around a spherically symmetric mass also yield $\ensuremath{\gamma}=1/2$. Here we generalize this analysis to $f(R)$ gravity and enumerate the conditions that, when satisfied by the function $f(R)$, lead to the prediction that $\ensuremath{\gamma}=1/2$.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
Riess, A. G., Filippenko, A. V., Challis, P., Clocchiatti, A., Diercks, A., Garnavich, P. M., Gilliland, R. L., Hogan, C. J., Jha, S., Kirshner, R. P., et al. (1998) · The Astronomical Journal · doi:10.1086/300499 · Cited by 19,704
Measurements of Ω and Λ from 42 High‐Redshift Supernovae
Perlmutter, S., Aldering, G., Goldhaber, G., Knop, R. A., Nugent, P., Castro, P. G., Deustua, S., Fabbro, S., Goobar, A., Groom, D. E., et al. (1999) · The Astrophysical Journal · doi:10.1086/307221 · Cited by 18,062
A new type of isotropic cosmological models without singularity
Starobinsky, A. A. (1980) · Physics Letters B · doi:10.1016/0370-2693(80)90670-x · Cited by 7,677
Mach's Principle and a Relativistic Theory of Gravitation
Brans, C., & Dicke, R. H. (1961) · Physical Review · doi:10.1103/physrev.124.925 · Cited by 5,621
Theory and Experiment in Gravitational Physics
Will, C. M. (2018) · doi:10.1017/9781316338612 · Cited by 3,637
Theory and Experiment in Gravitational Physics
Will, C. M. (1993) · doi:10.1017/cbo9780511564246 · Cited by 3,632
Is cosmic speed-up due to new gravitational physics?
Carroll, S. M., Duvvuri, V., Trodden, M., & Turner, M. S. (2004) · Physical Review D · doi:10.1103/physrevd.70.043528 · Cited by 2,269
A test of general relativity using radio links with the Cassini spacecraft
Bertotti, B., Iess, L., & Tortora, P. (2003) · Nature · doi:10.1038/nature01997 · Cited by 2,017
1/R gravity and scalar-tensor gravity
Chiba, T. (2003) · Physics Letters B · doi:10.1016/j.physletb.2003.09.033 · Cited by 678
Self-citationCosmology of generalized modified gravity models
Carroll, S. M., De Felice, A., Duvvuri, V., Easson, D. A., Trodden, M., & Turner, M. S. (2005) · Physical Review D · doi:10.1103/physrevd.71.063513 · Cited by 604
Post-Newtonian constraints onf(R)cosmologies in metric and Palatini formalism
Olmo, G. J. (2005) · Physical Review D · doi:10.1103/physrevd.72.083505 · Cited by 387
The power of general relativity
Clifton, T., & Barrow, J. D. (2005) · Physical Review D · doi:10.1103/physrevd.72.103005 · Cited by 346
Spherically symmetric solutions of modified field equations inf(R)theories of gravity
Multamäki, T., & Vilja, I. (2006) · Physical Review D · doi:10.1103/physrevd.74.064022 · Cited by 342
Shapiro, S. S., Davis, J. L., Lebach, D. E., & Gregory, J. S. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.121101 · Cited by 308
Flanagan, É. É. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.071101 · Cited by 253
Solar system tests do rule out1/Rgravity
Erickcek, A. L., Smith, T. L., & Kamionkowski, M. (2006) · Physical Review D · doi:10.1103/physrevd.74.121501 · Cited by 242
Self-citationSolar system experiments do not yet veto modified gravity models
Faraoni, V. (2006) · Physical Review D · doi:10.1103/physrevd.74.023529 · Cited by 191
f(R) actions, cosmic acceleration and local tests of gravity
Navarro, I., & Acoleyen, K. V. (2007) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2007/02/022 · Cited by 185
Modified-source gravity and cosmological structure formation
Carroll, S. M., Sawicki, I., Silvestri, A., & Trodden, M. (2006) · New Journal of Physics · doi:10.1088/1367-2630/8/12/323 · Cited by 172
Post-newtonian parameters from alternative theories of gravity
Allemandi, G., Francaviglia, M., Ruggiero, M. L., & Tartaglia, A. (2005) · General Relativity and Gravitation · doi:10.1007/s10714-005-0195-8 · Cited by 131
On quadratic lagrangians in General Relativity
Pechlaner, E., & Sexl, R. U. (1966) · Communications in Mathematical Physics · doi:10.1007/bf01773351 · Cited by 116
On the viability of the Palatini form of 1/ R gravity
Vollick, D. N. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/15/n01 · Cited by 98
Solar System planetary orbital motions andf(R) theories of gravity
Ruggiero, M. L., & Iorio, L. (2007) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2007/01/010 · Cited by 80
Post-Newtonian Parameters from Alternative Theories of Gravity
Allemandi, G., Francaviglia, M., Ruggiero, M. L., & Tartaglia, A. (2005) · CERN Document Server (European Organization for Nuclear Research) · Cited by 79
Non-viability of gravitational theory based on a quadratic lagrangian
Bicknell, G. V. (1974) · Journal of Physics A Mathematical Nuclear and General · doi:10.1088/0305-4470/7/9/010 · Cited by 77
Cited by
Sotiriou, T. P., & Faraoni, V. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.451 · Cited by 4,519
Capozziello, S., & De Laurentis, M. (2011) · Physics Reports · doi:10.1016/j.physrep.2011.09.003 · Cited by 3,321
Harko, T., Lobo, F. S. N., Nojiri, S., & Odintsov, S. D. (2011) · Physical Review D · doi:10.1103/physrevd.84.024020 · Cited by 2,772
Models off(R)cosmic acceleration that evade solar system tests
Hu, W., & Sawicki, I. (2007) · Physical Review D · doi:10.1103/physrevd.76.064004 · Cited by 1,736
Beyond the cosmological standard model
Joyce, A., Jain, B., Khoury, J., & Trodden, M. (2015) · Physics Reports · doi:10.1016/j.physrep.2014.12.002 · Cited by 1,231
Metadata
- Authors
- Chiba, T., Smith, T. L., & Erickcek, A. L.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2007-06-20
- Volume
- 75
- Issue
- 12
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2111044754
- Cited by
- 347
- References
- 25
- FWCI
- 18.92
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
